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Finding the Fourth Proportional to 5,735.20, 8,602.80 and 5,108.80

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Solution

The fourth proportional to 5,735.20, 8,602.80 and 5,108.80 is: 7,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.20 : 8,602.80 = 5,108.80 : x
  2. Step 2: Convert to fraction form
    5,735.20/8,602.80 = 5,108.80/x
  3. Step 3: Cross multiply
    5,735.20x = 8,602.80 × 5,108.80
  4. Step 4: Simplify right side
    5,735.20x = 43,949,984.64
  5. Step 5: Solve for x
    x = 43,949,984.64/5,735.20
  6. Step 6: Final answer
    x = 7,663.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.